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104304211220 = 225113676192087
BaseRepresentation
bin110000100100100000…
…0111111010100010100
3100222020010202221001002
41201021000333110110
53202103334224340
6115530001122432
710351520111156
oct1411100772424
9328203687032
10104304211220
114026500a760
121826b329418
139ab34749a1
145096962ad6
152aa7051715
hex184903f514

104304211220 has 96 divisors (see below), whose sum is σ = 240104632320. Its totient is φ = 37746253440.

The previous prime is 104304211199. The next prime is 104304211241. The reversal of 104304211220 is 22112403401.

It is an interprime number because it is at equal distance from previous prime (104304211199) and next prime (104304211241).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104304211192 and 104304211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49977017 + ... + 49979103.

It is an arithmetic number, because the mean of its divisors is an integer number (2501089920).

Almost surely, 2104304211220 is an apocalyptic number.

104304211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104304211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120052316160).

104304211220 is an abundant number, since it is smaller than the sum of its proper divisors (135800421100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104304211220 is a wasteful number, since it uses less digits than its factorization.

104304211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104304211220 its reverse (22112403401), we get a palindrome (126416614621).

The spelling of 104304211220 in words is "one hundred four billion, three hundred four million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 619 734 1238 1468 1835 2087 2476 3095 3670 4037 4174 6190 6809 7340 8074 8348 10435 12380 13618 16148 20185 20870 22957 27236 34045 40370 41740 45914 68090 80740 91828 114785 136180 227173 229570 454346 459140 765929 908692 1135865 1291853 1531858 2271730 2498903 2583706 3063716 3829645 4543460 4997806 5167412 6459265 7659290 8425219 9995612 12494515 12918530 14210383 15318580 16850438 24989030 25837060 28420766 33700876 42126095 49978060 56841532 71051915 84252190 142103830 168504380 284207660 474110051 948220102 1896440204 2370550255 4741100510 5215210561 9482201020 10430421122 20860842244 26076052805 52152105610 104304211220